What is the Least Common Multiple of 84173 and 84191?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84173 and 84191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84173 and 84191, than apply into the LCM equation.

GCF(84173,84191) = 1
LCM(84173,84191) = ( 84173 × 84191) / 1
LCM(84173,84191) = 7086609043 / 1
LCM(84173,84191) = 7086609043

Least Common Multiple (LCM) of 84173 and 84191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84173 and 84191. First we will calculate the prime factors of 84173 and 84191.

Prime Factorization of 84173

Prime Factorization of 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 84173 and 84191.

LCM(84173,84191) = 41¹ × 2053¹ × 84191¹
LCM(84173,84191) = 7086609043